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Finding the Third Proportional to 210,256 and 473,149

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Solution

The third proportional to 210,256 and 473,149 is: 1,064,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,256 : 473,149 = 473,149 : x
  2. Step 2: Convert to fraction form
    210,256/473,149 = 473,149/x
  3. Step 3: Cross multiply
    210,256x = 473,149 × 473,149
  4. Step 4: Simplify right side
    210,256x = 223,869,976,201
  5. Step 5: Solve for x
    x = 223,869,976,201/210,256
  6. Step 6: Final answer
    x = 1,064,749.53

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.